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Algebraic Aspects of Cryptography (Algorithms and Computation in Mathematics)
 
 

Algebraic Aspects of Cryptography (Algorithms and Computation in Mathematics) (Hardcover)

by Neal Koblitz (Author), A.J. Menezes (Contributor), Y.-H. Wu (Contributor), R.J. Zuccherato (Contributor) "Broadly speaking, the term cryptography refers to a wide range of security issues in the transmission and safeguarding of information ..." (more)
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Review
.,." This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. ... Overall, this is an excellent expository text, and will be very useful to both the student and researcher."

M.V.D.Burmester, Mathematical Reviews 2002

.,." I think this book is a very inspiring book on cryptography. It goes beyond the traditional topics (most of the cryptosystems presented here are first time in a textbook, some of Paturi's work is not published yet). This way the reader has the feeling how easy to suggest a cryptosystem, how easy to break a safe looking system and hence how hard to trust one. The interested readers are forced to think together with ther researchers and feel the joy of discovering new ideas. At the same time the importance of "hardcore" mathematics is emphasized and hopefully some application driven students will be motivated to study theory."

PA(c)ter Hajnal, Acta Scientiarum Mathematicarum, 64.1998, p. 750

.,." Overall, the book is highly recommended to everyone who has the requisite mathematical sophistication."

E.Leiss, Computing Reviews 1998, p. 506

.,." Der Autor, der ... vielen Lesern dieses Rundbriefs gut bekannt sein wird, hat hier ein kleines Werk vorgelegt, das man wohl am Besten als "Lesebuch zu algebraischen Aspekten der Kryptographie mit Affentlichem SchlA1/4ssel" charakterisieren kann. ...

Mit zunehmender Schwierigkeit des Material werden die AusfA1/4hrungen dabei skizzenhafter und beschrAnken sich immer stArker auf den Hinweis auf entsprechende Quellen, was den Charakter eines guten "Lesebuchs," wie ich es obenbezeichnet habe, ausmachen sollte. Das Buch eignet sich damit selbst fA1/4r "advanced undergraduates," wie es im Klappentext heiAt, als Einstieg und erster Aoeberblick A1/4ber ein Gebiet, in dem sich in den letzten Jahren auf A1/4berraschende Weise praktische AnwendungsmAglichkeiten fA1/4r tief innermathematische Themen ergeben haben."

Hans-Gert GrAbe, Computeralgebra Rundbrief 1999, Issue 25

.,." Es gelingt Koblitz, anschaulich und mit elementaren Mitteln auch Dinge zu erlAutern, die in vergleichbaren Texten kaum zu finden sind: z.B. den Hilbertschen Basis- und Nullstellensatz, sowie GrAbnerbasen. ..."

Franz Lemmermeyer, Mathematische Semesterberichte 1999, 46/1



Product Description
This is a textbook for a course (or self-instruction) in cryptography with emphasis on algebraic methods. The first half of the book is a self-contained informal introduction to areas of algebra, number theory, and computer science that are used in cryptography. Most of the material in the second half - "hidden monomial" systems, combinatorial-algebraic systems, and hyperelliptic systems - has not previously appeared in monograph form. The appendix by Menezes, Wu, and Zuccherato gives an elementary treatment of hyperelliptic curves. This book is intended for graduate students, advanced undergraduates, and scientists working in various fields of data security.


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Broadly speaking, the term cryptography refers to a wide range of security issues in the transmission and safeguarding of information. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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